0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n009.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 07:55:21 EDT 2020 0.09/0.31 % CPUTime : 0.16/0.34 % (5329)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.16/0.34 % (5328)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.16/0.34 % (5330)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.16/0.35 % (5327)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.16/0.35 % (5331)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.16/0.35 % (5345)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.16/0.35 % (5349)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark 0.16/0.36 % (5348)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.16/0.36 % (5325)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.16/0.36 % (5326)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.16/0.36 % (5340)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.16/0.36 % (5346)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.16/0.36 % (5333)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.16/0.36 % (5334)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.16/0.36 % (5344)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.16/0.37 % (5332)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.16/0.37 % (5339)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.16/0.37 % (5343)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.16/0.37 % (5350)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.16/0.37 % (5351)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.16/0.37 % (5336)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.16/0.37 % (5337)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.16/0.38 % (5342)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark 0.16/0.38 % (5341)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.16/0.38 % (5353)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.16/0.38 % (5352)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.16/0.38 % (5347)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.16/0.39 % (5335)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark 0.16/0.39 % (5338)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.16/0.40 % (5354)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark 0.16/0.46 % (5348)Refutation not found, incomplete strategy 0.16/0.46 % (5348)------------------------------ 0.16/0.46 % (5348)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.16/0.46 % (5348)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 % (5348)Memory used [KB]: 11385 0.16/0.46 % (5348)Time elapsed: 0.136 s 0.16/0.46 % (5348)------------------------------ 0.16/0.46 % (5348)------------------------------ 0.16/0.52 % (5355)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 3.20/0.74 % (5339)Time limit reached! 3.20/0.74 % (5339)------------------------------ 3.20/0.74 % (5339)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.20/0.74 % (5339)Termination reason: Time limit 3.20/0.74 % (5339)Termination phase: Saturation 3.20/0.74 3.20/0.74 % (5339)Memory used [KB]: 9594 3.20/0.74 % (5339)Time elapsed: 0.400 s 3.20/0.75 % (5339)------------------------------ 3.20/0.75 % (5339)------------------------------ 3.68/0.81 % (5335)Refutation not found, incomplete strategy 3.68/0.81 % (5335)------------------------------ 3.68/0.81 % (5335)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.68/0.81 % (5335)Termination reason: Refutation not found, incomplete strategy 3.68/0.81 3.68/0.81 % (5335)Memory used [KB]: 12025 3.68/0.81 % (5335)Time elapsed: 0.471 s 3.68/0.81 % (5335)------------------------------ 3.68/0.81 % (5335)------------------------------ 3.68/0.82 % (5355)Refutation found. Thanks to Tanya! 3.68/0.82 % SZS status Theorem for theBenchmark 3.68/0.82 % SZS output start Proof for theBenchmark 3.68/0.82 tff(func_def_0, type, mu: '$tType'). 3.68/0.82 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 3.68/0.82 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_6, type, mtrue: '$i' -> '$o'). 3.68/0.82 tff(func_def_7, type, mfalse: '$i' -> '$o'). 3.68/0.82 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_9, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 3.68/0.82 tff(func_def_10, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_11, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_12, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_13, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_14, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_15, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_16, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_17, type, mforall_indset: ((mu -> '$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_18, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_19, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_20, type, mexists_indset: ((mu -> '$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_21, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_22, type, mbox_generic: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_23, type, mdia_generic: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_24, type, rel: '$i' -> '$i' -> '$o'). 3.68/0.82 tff(func_def_25, type, mbox: ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_26, type, mdia: ('$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_27, type, mvalid: ('$i' -> '$o') -> '$o'). 3.68/0.82 tff(func_def_28, type, minvalid: ('$i' -> '$o') -> '$o'). 3.68/0.82 tff(func_def_29, type, positive: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.68/0.82 tff(func_def_30, type, god: mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_31, type, essence: (mu -> '$i' -> '$o') -> mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_32, type, necessary_existence: mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_33, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 3.68/0.82 tff(func_def_34, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.68/0.82 tff(func_def_35, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.68/0.82 tff(func_def_38, type, vNOT: '$o' -> '$o'). 3.68/0.82 tff(func_def_39, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.68/0.82 tff(func_def_40, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 3.68/0.82 tff(func_def_41, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 3.68/0.82 tff(func_def_42, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.68/0.82 tff(func_def_43, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 3.68/0.82 tff(func_def_44, type, vOR: '$o' -> '$o' -> '$o'). 3.68/0.82 tff(func_def_45, type, vAND: '$o' -> '$o' -> '$o'). 3.68/0.82 tff(func_def_46, type, vIMP: '$o' -> '$o' -> '$o'). 3.68/0.82 tff(func_def_47, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 3.68/0.82 tff(func_def_48, type, vIFF: '$o' -> '$o' -> '$o'). 3.68/0.82 tff(func_def_50, type, sK1: (mu -> '$i' -> '$o') -> (mu -> '$i' -> '$o') -> '$i' -> '$i'). 3.68/0.82 tff(func_def_51, type, sK2: (mu -> '$i' -> '$o') -> (mu -> '$i' -> '$o') -> '$i' -> mu). 3.68/0.82 tff(func_def_53, type, sK4: mu). 3.68/0.82 tff(func_def_54, type, sK5: mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_55, type, sK6: mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_57, type, sK8: mu). 3.68/0.82 tff(func_def_59, type, sK10: mu). 3.68/0.82 tff(func_def_60, type, sK11: (mu -> '$i' -> '$o') -> mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_61, type, sK12: '$i' -> (mu -> '$i' -> '$o') -> mu). 3.68/0.82 tff(func_def_62, type, sK13: (mu -> '$i' -> '$o') -> '$i'). 3.68/0.82 tff(func_def_63, type, sK14: (mu -> '$i' -> '$o') -> mu). 3.68/0.82 tff(func_def_64, type, sK15: (mu -> '$i' -> '$o') -> mu -> '$i' -> '$o'). 3.68/0.82 tff(func_def_65, type, sK16: '$i' -> (mu -> '$i' -> '$o') -> mu). 3.68/0.82 tff(func_def_66, type, sK17: (mu -> '$i' -> '$o') -> '$i'). 3.68/0.82 tff(func_def_67, type, sK18: (mu -> '$i' -> '$o') -> mu). 3.68/0.82 tff(f4,axiom,( 3.68/0.82 mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 3.68/0.82 tff(f6,axiom,( 3.68/0.82 mand = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 & X3 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)). 3.68/0.82 tff(f7,axiom,( 3.68/0.82 mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X3 @ X2 => X4 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 3.68/0.82 tff(f9,axiom,( 3.68/0.82 mequiv = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X3 @ X2 <=> X4 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)). 3.68/0.82 tff(f11,axiom,( 3.68/0.82 mforall_ind = (^[X3 : mu -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu] : X3 @ X0 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)). 3.68/0.82 tff(f12,axiom,( 3.68/0.82 mforall_indset = (^[X3 : (mu -> '$i' -> '$o') -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu -> '$i' -> '$o'] : X3 @ X0 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_indset)). 3.68/0.82 tff(f17,axiom,( 3.68/0.82 mbox_generic = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_generic)). 3.68/0.82 tff(f19,axiom,( 3.68/0.82 mbox_generic @ rel = mbox), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 3.68/0.82 tff(f21,axiom,( 3.68/0.82 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 3.68/0.82 tff(f23,axiom,( 3.68/0.82 god = (^[X0 : mu] : mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X3) @ (X3 @ X0)))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defD1)). 3.68/0.82 tff(f24,axiom,( 3.68/0.82 essence = (^[X3 : mu -> '$i' -> '$o', X0 : mu] : mand @ (X3 @ X0) @ (mforall_indset @ (^[X4 : mu -> '$i' -> '$o'] : mimplies @ (X4 @ X0) @ (mbox @ (mforall_ind @ (^[X1 : mu] : mimplies @ (X3 @ X1) @ (X4 @ X1)))))))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defD2)). 3.68/0.82 tff(f26,axiom,( 3.68/0.82 mvalid @ (mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mequiv @ (positive @ (^[X0 : mu] : mnot @ (X3 @ X0))) @ (mnot @ (positive @ X3))))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA1)). 3.68/0.82 tff(f28,axiom,( 3.68/0.82 mvalid @ (mforall_indset @ (^[X3 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X3) @ (mbox @ (positive @ X3))))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axA4)). 3.68/0.82 tff(f31,conjecture,( 3.68/0.82 mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))), 3.68/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thmT2)). 3.68/0.82 tff(f32,negated_conjecture,( 3.68/0.82 ~mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))), 3.68/0.82 inference(negated_conjecture,[],[f31])). 3.68/0.82 tff(f33,plain,( 3.68/0.82 ~mvalid @ (mforall_ind @ (^[X0 : mu] : mimplies @ (god @ X0) @ (essence @ god @ X0)))), 3.68/0.82 inference(rectify,[],[f32])). 3.68/0.82 tff(f34,plain,( 3.68/0.82 ~(mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) = $true)), 3.68/0.82 inference(fool_elimination,[],[f33])). 3.68/0.82 tff(f56,plain,( 3.68/0.82 mbox_generic = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 3.68/0.82 inference(rectify,[],[f17])). 3.68/0.82 tff(f57,plain,( 3.68/0.82 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox_generic), 3.68/0.82 inference(fool_elimination,[],[f56])). 3.68/0.82 tff(f62,plain,( 3.68/0.82 mequiv = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X0 @ X2 <=> X1 @ X2)), 3.68/0.82 inference(rectify,[],[f9])). 3.68/0.82 tff(f63,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vIFF) = mequiv), 3.68/0.82 inference(fool_elimination,[],[f62])). 3.68/0.82 tff(f64,plain,( 3.68/0.82 god = (^[X0 : mu] : mforall_indset @ (^[X1 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X1) @ (X1 @ X0)))), 3.68/0.82 inference(rectify,[],[f23])). 3.68/0.82 tff(f65,plain,( 3.68/0.82 bCOMB @ mforall_indset @ (bCOMB @ (sCOMB @ (bCOMB @ mimplies @ positive)) @ (cCOMB @ iCOMB)) = god), 3.68/0.82 inference(fool_elimination,[],[f64])). 3.68/0.82 tff(f66,plain,( 3.68/0.82 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 3.68/0.82 inference(rectify,[],[f21])). 3.68/0.82 tff(f67,plain,( 3.68/0.82 mvalid = vPI('$i')), 3.68/0.82 inference(fool_elimination,[],[f66])). 3.68/0.82 tff(f68,plain,( 3.68/0.82 essence = (^[X0 : mu -> '$i' -> '$o', X1 : mu] : mand @ (X0 @ X1) @ (mforall_indset @ (^[X2 : mu -> '$i' -> '$o'] : mimplies @ (X2 @ X1) @ (mbox @ (mforall_ind @ (^[X3 : mu] : mimplies @ (X0 @ X3) @ (X2 @ X3)))))))), 3.68/0.82 inference(rectify,[],[f24])). 3.68/0.82 tff(f69,plain,( 3.68/0.82 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ mand)) @ (bCOMB @ (bCOMB @ mforall_indset) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mimplies) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ mbox) @ (bCOMB @ (bCOMB @ mforall_ind) @ (bCOMB @ sCOMB @ (bCOMB @ mimplies)))))) = essence), 3.68/0.82 inference(fool_elimination,[],[f68])). 3.68/0.82 tff(f70,plain,( 3.68/0.82 mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)), 3.68/0.82 inference(rectify,[],[f4])). 3.68/0.82 tff(f71,plain,( 3.68/0.82 mnot = bCOMB @ vNOT), 3.68/0.82 inference(fool_elimination,[],[f70])). 3.68/0.82 tff(f72,plain,( 3.68/0.82 mforall_indset = (^[X0 : (mu -> '$i' -> '$o') -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu -> '$i' -> '$o'] : X0 @ X2 @ X1)), 3.68/0.82 inference(rectify,[],[f12])). 3.68/0.82 tff(f73,plain,( 3.68/0.82 bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB = mforall_indset), 3.68/0.82 inference(fool_elimination,[],[f72])). 3.68/0.82 tff(f74,plain,( 3.68/0.82 mand = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 & X0 @ X2)), 3.68/0.82 inference(rectify,[],[f6])). 3.68/0.82 tff(f75,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vAND) = mand), 3.68/0.82 inference(fool_elimination,[],[f74])). 3.68/0.82 tff(f76,plain,( 3.68/0.82 mforall_ind = (^[X0 : mu -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu] : X0 @ X2 @ X1)), 3.68/0.82 inference(rectify,[],[f11])). 3.68/0.82 tff(f77,plain,( 3.68/0.82 bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind), 3.68/0.82 inference(fool_elimination,[],[f76])). 3.68/0.82 tff(f78,plain,( 3.68/0.82 mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X0 @ X2 => X1 @ X2)), 3.68/0.82 inference(rectify,[],[f7])). 3.68/0.82 tff(f79,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vIMP) = mimplies), 3.68/0.82 inference(fool_elimination,[],[f78])). 3.68/0.82 tff(f84,plain,( 3.68/0.82 mvalid @ (mforall_indset @ (^[X0 : mu -> '$i' -> '$o'] : mimplies @ (positive @ X0) @ (mbox @ (positive @ X0))))), 3.68/0.82 inference(rectify,[],[f28])). 3.68/0.82 tff(f85,plain,( 3.68/0.82 (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mimplies @ positive) @ (bCOMB @ mbox @ positive))) = $true)), 3.68/0.82 inference(fool_elimination,[],[f84])). 3.68/0.82 tff(f86,plain,( 3.68/0.82 mvalid @ (mforall_indset @ (^[X0 : mu -> '$i' -> '$o'] : mequiv @ (positive @ (^[X1 : mu] : mnot @ (X0 @ X1))) @ (mnot @ (positive @ X0))))), 3.68/0.82 inference(rectify,[],[f26])). 3.68/0.82 tff(f87,plain,( 3.68/0.82 (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mequiv @ (bCOMB @ positive @ (bCOMB @ mnot))) @ (bCOMB @ mnot @ positive))) = $true)), 3.68/0.82 inference(fool_elimination,[],[f86])). 3.68/0.82 tff(f90,plain,( 3.68/0.82 (mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) != $true)), 3.68/0.82 inference(flattening,[],[f34])). 3.68/0.82 tff(f91,plain,( 3.68/0.82 (mvalid @ (mforall_ind @ (sCOMB @ (bCOMB @ mimplies @ god) @ (essence @ god))) != $true)), 3.68/0.82 inference(cnf_transformation,[],[f90])). 3.68/0.82 tff(f93,plain,( 3.68/0.82 mbox_generic @ rel = mbox), 3.68/0.82 inference(cnf_transformation,[],[f19])). 3.68/0.82 tff(f105,plain,( 3.68/0.82 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox_generic), 3.68/0.82 inference(cnf_transformation,[],[f57])). 3.68/0.82 tff(f108,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vIFF) = mequiv), 3.68/0.82 inference(cnf_transformation,[],[f63])). 3.68/0.82 tff(f109,plain,( 3.68/0.82 bCOMB @ mforall_indset @ (bCOMB @ (sCOMB @ (bCOMB @ mimplies @ positive)) @ (cCOMB @ iCOMB)) = god), 3.68/0.82 inference(cnf_transformation,[],[f65])). 3.68/0.82 tff(f110,plain,( 3.68/0.82 mvalid = vPI('$i')), 3.68/0.82 inference(cnf_transformation,[],[f67])). 3.68/0.82 tff(f111,plain,( 3.68/0.82 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ mand)) @ (bCOMB @ (bCOMB @ mforall_indset) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ mimplies) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ mbox) @ (bCOMB @ (bCOMB @ mforall_ind) @ (bCOMB @ sCOMB @ (bCOMB @ mimplies)))))) = essence), 3.68/0.82 inference(cnf_transformation,[],[f69])). 3.68/0.82 tff(f112,plain,( 3.68/0.82 mnot = bCOMB @ vNOT), 3.68/0.82 inference(cnf_transformation,[],[f71])). 3.68/0.82 tff(f113,plain,( 3.68/0.82 bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB = mforall_indset), 3.68/0.82 inference(cnf_transformation,[],[f73])). 3.68/0.82 tff(f114,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vAND) = mand), 3.68/0.82 inference(cnf_transformation,[],[f75])). 3.68/0.82 tff(f115,plain,( 3.68/0.82 bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB = mforall_ind), 3.68/0.82 inference(cnf_transformation,[],[f77])). 3.68/0.82 tff(f116,plain,( 3.68/0.82 bCOMB @ sCOMB @ (bCOMB @ vIMP) = mimplies), 3.68/0.82 inference(cnf_transformation,[],[f79])). 3.68/0.82 tff(f119,plain,( 3.68/0.82 (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mimplies @ positive) @ (bCOMB @ mbox @ positive))) = $true)), 3.68/0.82 inference(cnf_transformation,[],[f85])). 3.68/0.82 tff(f120,plain,( 3.68/0.82 (mvalid @ (mforall_indset @ (sCOMB @ (bCOMB @ mequiv @ (bCOMB @ positive @ (bCOMB @ mnot))) @ (bCOMB @ mnot @ positive))) = $true)), 3.68/0.82 inference(cnf_transformation,[],[f87])). 3.68/0.82 tff(f122,plain,( 3.68/0.82 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel = mbox), 3.68/0.82 inference(definition_unfolding,[],[f93,f105])). 3.68/0.82 tff(f124,plain,( 3.68/0.82 bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)) = god), 3.68/0.82 inference(definition_unfolding,[],[f109,f113,f116])). 3.68/0.82 tff(f125,plain,( 3.68/0.82 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) = essence), 3.68/0.82 inference(definition_unfolding,[],[f111,f114,f113,f116,f122,f115,f116])). 3.68/0.82 tff(f127,plain,( 3.68/0.82 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))) != $true)), 3.68/0.82 inference(definition_unfolding,[],[f91,f110,f115,f116,f124,f125,f124])). 3.68/0.82 tff(f130,plain,( 3.68/0.82 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel) @ positive))) = $true)), 3.68/0.82 inference(definition_unfolding,[],[f119,f110,f113,f116,f122])). 3.68/0.82 tff(f131,plain,( 3.68/0.82 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive))) = $true)), 3.68/0.82 inference(definition_unfolding,[],[f120,f110,f113,f108,f112,f112])). 3.68/0.82 % (5356)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 3.68/0.82 % (5337)Time limit reached! 3.68/0.82 % (5337)------------------------------ 3.68/0.82 % (5337)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.68/0.82 % (5337)Termination reason: Time limit 3.68/0.82 % (5337)Termination phase: Saturation 3.68/0.82 3.68/0.82 % (5337)Memory used [KB]: 7931 3.68/0.82 % (5337)Time elapsed: 0.500 s 3.68/0.82 % (5337)------------------------------ 3.68/0.82 % (5337)------------------------------ 3.68/0.84 % (5328)Time limit reached! 3.68/0.84 % (5328)------------------------------ 3.68/0.84 % (5328)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.68/0.84 % (5336)Time limit reached! 3.68/0.84 % (5336)------------------------------ 3.68/0.84 % (5336)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.68/0.84 tff(f150,plain,( 3.68/0.84 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1 = $true)) )), 3.68/0.84 inference(pi_clausification,[],[f131])). 3.68/0.84 % (5336)Termination reason: Time limit 3.68/0.84 % (5336)Termination phase: Saturation 3.68/0.84 3.68/0.84 % (5336)Memory used [KB]: 12281 3.68/0.84 % (5336)Time elapsed: 0.500 s 3.68/0.84 % (5336)------------------------------ 3.68/0.84 % (5336)------------------------------ 3.68/0.84 tff(f151,plain,( 3.68/0.84 ( ! [X1] : ((vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1) = $true)) )), 3.68/0.84 inference(combinator_demodulation,[],[f150])). 3.68/0.84 tff(f152,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIFF)) @ (bCOMB @ positive @ (bCOMB @ (bCOMB @ vNOT)))) @ (bCOMB @ (bCOMB @ vNOT) @ positive)) @ X1 @ X2 = $true)) )), 3.68/0.84 inference(pi_clausification,[],[f151])). 3.68/0.84 tff(f153,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((vIFF @ (positive @ (bCOMB @ (bCOMB @ vNOT) @ X2) @ X1) @ (vNOT @ (positive @ X2 @ X1)) = $true)) )), 3.68/0.84 inference(combinator_demodulation,[],[f152])). 3.68/0.84 tff(f154,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((positive @ (bCOMB @ (bCOMB @ vNOT) @ X2) @ X1 = $true) | (vNOT @ (positive @ X2 @ X1) = $false)) )), 3.68/0.84 inference(binary_proxy_clausification,[],[f153])). 3.68/0.84 tff(f157,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((positive @ (bCOMB @ (bCOMB @ vNOT) @ X2) @ X1 = $true) | (positive @ X2 @ X1 = $true)) )), 3.68/0.84 inference(not_proxy_clausification,[],[f154])). 3.68/0.84 tff(f158,plain,( 3.68/0.84 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel) @ positive)) @ X1 = $true)) )), 3.68/0.84 inference(pi_clausification,[],[f130])). 3.68/0.84 tff(f159,plain,( 3.68/0.84 ( ! [X1] : ((vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ positive)) @ X1) = $true)) )), 3.68/0.84 inference(combinator_demodulation,[],[f158])). 3.68/0.84 tff(f160,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ positive)) @ X1 @ X2 = $true)) )), 3.68/0.84 inference(pi_clausification,[],[f159])). 3.68/0.84 tff(f161,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((vIMP @ (positive @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2))) = $true)) )), 3.68/0.84 inference(combinator_demodulation,[],[f160])). 3.68/0.84 tff(f162,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X1] : ((positive @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2)) = $true)) )), 3.68/0.84 inference(binary_proxy_clausification,[],[f161])). 3.68/0.84 tff(f163,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ X1))) @ (positive @ X2) @ X3 = $true)) )), 3.68/0.84 inference(pi_clausification,[],[f162])). 3.68/0.84 tff(f164,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel @ X1 @ X3)) @ (positive @ X2 @ X3) = $true)) )), 3.68/0.84 inference(combinator_demodulation,[],[f163])). 3.68/0.84 tff(f165,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X1 = $false) | (vNOT @ (rel @ X1 @ X3) = $true) | (positive @ X2 @ X3 = $true)) )), 3.68/0.84 inference(binary_proxy_clausification,[],[f164])). 3.68/0.84 tff(f166,plain,( 3.68/0.84 ( ! [X2:mu -> '$i' -> '$o',X3,X1] : ((positive @ X2 @ X3 = $true) | (rel @ X1 @ X3 = $false) | (positive @ X2 @ X1 = $false)) )), 3.68/0.84 inference(not_proxy_clausification,[],[f165])). 3.68/0.84 tff(f171,plain,( 3.68/0.84 (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ rel)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB)) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))) @ sK3 = $false)), 3.68/0.84 inference(sigma_clausification,[],[f127])). 3.68/0.84 % (5328)Termination reason: Time limit 3.68/0.84 3.68/0.84 % (5328)Memory used [KB]: 13304 3.68/0.84 % (5328)Time elapsed: 0.517 s 3.68/0.84 % (5328)------------------------------ 3.68/0.84 % (5328)------------------------------ 3.68/0.84 tff(f172,plain,( 3.68/0.84 (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))))))))) @ sK3) = $false)), 3.68/0.84 inference(combinator_demodulation,[],[f171])). 3.68/0.85 % (5326)Time limit reached! 3.68/0.85 % (5326)------------------------------ 3.68/0.85 % (5326)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.68/0.86 % (5326)Termination reason: Time limit 3.68/0.86 % (5326)Termination phase: Saturation 3.68/0.86 3.68/0.86 % (5326)Memory used [KB]: 13176 3.68/0.86 % (5326)Time elapsed: 0.500 s 3.68/0.86 % (5326)------------------------------ 3.68/0.86 % (5326)------------------------------ 4.16/0.86 % (5325)Time limit reached! 4.16/0.86 % (5325)------------------------------ 4.16/0.86 % (5325)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.20/0.86 % (5357)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark 4.20/0.87 tff(f173,plain,( 4.20/0.87 (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP))) @ (cCOMB @ iCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB))))))))))) @ sK3 @ sK4 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f172])). 4.20/0.87 tff(f174,plain,( 4.20/0.87 (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3)) @ (vAND @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3)) @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK4)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK3))) = $false)), 4.20/0.87 inference(combinator_demodulation,[],[f173])). 4.20/0.87 tff(f175,plain,( 4.20/0.87 (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3) = $true)), 4.20/0.87 inference(binary_proxy_clausification,[],[f174])). 4.20/0.87 tff(f176,plain,( 4.20/0.87 (vAND @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3)) @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK4)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK3)) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f174])). 4.20/0.87 tff(f177,plain,( 4.20/0.87 (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3) = $false) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK4)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK3) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f176])). 4.20/0.87 tff(f178,plain,( 4.20/0.87 (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3) = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK4)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK3 @ sK5 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f177])). 4.20/0.87 tff(f179,plain,( 4.20/0.87 (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3 @ sK6 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB @ sK4)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ cCOMB) @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))))))) @ sK3 @ sK5 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f178])). 4.20/0.87 tff(f180,plain,( 4.20/0.87 (vIMP @ (positive @ sK6 @ sK3) @ (sK6 @ sK4 @ sK3) = $false) | (vIMP @ (sK5 @ sK4 @ sK3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5))))) = $false)), 4.20/0.87 inference(combinator_demodulation,[],[f179])). 4.20/0.87 tff(f181,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (vIMP @ (sK5 @ sK4 @ sK3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5))))) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f180])). 4.20/0.87 tff(f182,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vIMP @ (sK5 @ sK4 @ sK3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5))))) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f180])). 4.20/0.87 tff(f183,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (sK5 @ sK4 @ sK3 = $true)), 4.20/0.87 inference(binary_proxy_clausification,[],[f182])). 4.20/0.87 tff(f184,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5)))) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f182])). 4.20/0.87 tff(f185,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5))) @ sK7 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f184])). 4.20/0.87 % (5325)Termination reason: Time limit 4.20/0.87 tff(f186,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vOR @ (vNOT @ (rel @ sK3 @ sK7)) @ (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK7)) = $false)), 4.20/0.87 inference(combinator_demodulation,[],[f185])). 4.20/0.87 tff(f187,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vNOT @ (rel @ sK3 @ sK7) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f186])). 4.20/0.87 % (5325)Termination phase: Saturation 4.20/0.87 4.20/0.87 % (5325)Memory used [KB]: 3582 4.20/0.87 % (5325)Time elapsed: 0.500 s 4.20/0.87 % (5325)------------------------------ 4.20/0.87 % (5325)------------------------------ 4.20/0.87 tff(f188,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK7) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f186])). 4.20/0.87 tff(f189,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK7 @ sK8 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f188])). 4.20/0.87 tff(f190,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7)) @ (sK5 @ sK8 @ sK7) = $false)), 4.20/0.87 inference(combinator_demodulation,[],[f189])). 4.20/0.87 tff(f191,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7) = $true)), 4.20/0.87 inference(binary_proxy_clausification,[],[f190])). 4.20/0.87 tff(f192,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (sK5 @ sK8 @ sK7 = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f190])). 4.20/0.87 tff(f193,plain,( 4.20/0.87 ( ! [X1:mu -> '$i' -> '$o'] : ((sK6 @ sK4 @ sK3 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK8)) @ sK7 @ X1 = $true)) )), 4.20/0.87 inference(pi_clausification,[],[f191])). 4.20/0.87 tff(f194,plain,( 4.20/0.87 ( ! [X1:mu -> '$i' -> '$o'] : ((sK6 @ sK4 @ sK3 = $false) | (vIMP @ (positive @ X1 @ sK7) @ (X1 @ sK8 @ sK7) = $true)) )), 4.20/0.87 inference(combinator_demodulation,[],[f193])). 4.20/0.87 tff(f195,plain,( 4.20/0.87 ( ! [X1:mu -> '$i' -> '$o'] : ((sK6 @ sK4 @ sK3 = $false) | (positive @ X1 @ sK7 = $false) | (X1 @ sK8 @ sK7 = $true)) )), 4.20/0.87 inference(binary_proxy_clausification,[],[f194])). 4.20/0.87 tff(f196,plain,( 4.20/0.87 (sK6 @ sK4 @ sK3 = $false) | (rel @ sK3 @ sK7 = $true)), 4.20/0.87 inference(not_proxy_clausification,[],[f187])). 4.20/0.87 tff(f197,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (sK5 @ sK4 @ sK3 = $true)), 4.20/0.87 inference(binary_proxy_clausification,[],[f181])). 4.20/0.87 tff(f198,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5)))) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f181])). 4.20/0.87 tff(f199,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel @ sK3))) @ (bCOMB @ vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5))) @ sK9 = $false)), 4.20/0.87 inference(sigma_clausification,[],[f198])). 4.20/0.87 tff(f200,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (vOR @ (vNOT @ (rel @ sK3 @ sK9)) @ (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK9)) = $false)), 4.20/0.87 inference(combinator_demodulation,[],[f199])). 4.20/0.87 tff(f201,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (vNOT @ (rel @ sK3 @ sK9) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f200])). 4.20/0.87 tff(f202,plain,( 4.20/0.87 (positive @ sK6 @ sK3 = $true) | (vPI(mu) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK9) = $false)), 4.20/0.87 inference(binary_proxy_clausification,[],[f200])). 4.20/0.89 tff(f203,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu -> '$i' -> '$o')) @ cCOMB) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive)) @ (cCOMB @ iCOMB)))) @ sK5) @ sK9 @ sK10 = $false)), 4.20/0.89 inference(sigma_clausification,[],[f202])). 4.20/0.89 tff(f204,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | (vIMP @ (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK10)) @ sK9)) @ (sK5 @ sK10 @ sK9) = $false)), 4.20/0.89 inference(combinator_demodulation,[],[f203])). 4.20/0.89 tff(f205,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | (vPI(mu -> '$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK10)) @ sK9) = $true)), 4.20/0.89 inference(binary_proxy_clausification,[],[f204])). 4.20/0.89 tff(f206,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | (sK5 @ sK10 @ sK9 = $false)), 4.20/0.89 inference(binary_proxy_clausification,[],[f204])). 4.20/0.89 tff(f207,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK6 @ sK3 = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK10)) @ sK9 @ X1 = $true)) )), 4.20/0.89 inference(pi_clausification,[],[f205])). 4.20/0.89 tff(f208,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK6 @ sK3 = $true) | (vIMP @ (positive @ X1 @ sK9) @ (X1 @ sK10 @ sK9) = $true)) )), 4.20/0.89 inference(combinator_demodulation,[],[f207])). 4.20/0.89 tff(f209,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ sK6 @ sK3 = $true) | (positive @ X1 @ sK9 = $false) | (X1 @ sK10 @ sK9 = $true)) )), 4.20/0.89 inference(binary_proxy_clausification,[],[f208])). 4.20/0.89 tff(f210,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | (rel @ sK3 @ sK9 = $true)), 4.20/0.89 inference(not_proxy_clausification,[],[f201])). 4.20/0.89 tff(f211,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ positive) @ (cCOMB @ iCOMB @ sK4)) @ sK3 @ X1 = $true)) )), 4.20/0.89 inference(pi_clausification,[],[f175])). 4.20/0.89 tff(f212,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((vIMP @ (positive @ X1 @ sK3) @ (X1 @ sK4 @ sK3) = $true)) )), 4.20/0.89 inference(combinator_demodulation,[],[f211])). 4.20/0.89 tff(f213,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((positive @ X1 @ sK3 = $false) | (X1 @ sK4 @ sK3 = $true)) )), 4.20/0.89 inference(binary_proxy_clausification,[],[f212])). 4.20/0.89 tff(f215,plain,( 4.20/0.89 spl0_1 <=> (sK5 @ sK4 @ sK3 != $true)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 4.20/0.89 tff(f216,plain,( 4.20/0.89 (sK5 @ sK4 @ sK3 != $true) | ~spl0_1), 4.20/0.89 inference(avatar_component_clause,[],[f215])). 4.20/0.89 tff(f218,plain,( 4.20/0.89 spl0_0 <=> (sK5 @ sK4 @ sK3 = $true)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 4.20/0.89 tff(f219,plain,( 4.20/0.89 (sK5 @ sK4 @ sK3 = $true) | ~spl0_0), 4.20/0.89 inference(avatar_component_clause,[],[f218])). 4.20/0.89 tff(f221,plain,( 4.20/0.89 spl0_3 <=> (sK6 @ sK4 @ sK3 != $false)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 4.20/0.89 tff(f222,plain,( 4.20/0.89 (sK6 @ sK4 @ sK3 != $false) | ~spl0_3), 4.20/0.89 inference(avatar_component_clause,[],[f221])). 4.20/0.89 tff(f224,plain,( 4.20/0.89 spl0_2 <=> (sK6 @ sK4 @ sK3 = $false)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 4.20/0.89 tff(f225,plain,( 4.20/0.89 (sK6 @ sK4 @ sK3 = $false) | ~spl0_2), 4.20/0.89 inference(avatar_component_clause,[],[f224])). 4.20/0.89 tff(f226,plain,( 4.20/0.89 spl0_0 | spl0_2), 4.20/0.89 inference(avatar_split_clause,[],[f183,f224,f218])). 4.20/0.89 tff(f229,plain,( 4.20/0.89 ($true != $true) | (sK5 @ sK4 @ sK3 = $false) | ~spl0_1), 4.20/0.89 inference(fool_paramodulation,[],[f216])). 4.20/0.89 tff(f230,plain,( 4.20/0.89 (sK5 @ sK4 @ sK3 = $false) | ~spl0_1), 4.20/0.89 inference(trivial_inequality_removal,[],[f229])). 4.20/0.89 tff(f236,plain,( 4.20/0.89 ($false = $true) | (positive @ sK6 @ sK3 = $true) | ~spl0_1), 4.20/0.89 inference(forward_demodulation,[],[f197,f230])). 4.20/0.89 tff(f237,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | ~spl0_1), 4.20/0.89 inference(trivial_inequality_removal,[],[f236])). 4.20/0.89 tff(f240,plain,( 4.20/0.89 ($false = $true) | (sK6 @ sK4 @ sK3 = $true) | ~spl0_1), 4.20/0.89 inference(superposition,[],[f213,f237])). 4.20/0.89 tff(f241,plain,( 4.20/0.89 (sK6 @ sK4 @ sK3 = $true) | ~spl0_1), 4.20/0.89 inference(trivial_inequality_removal,[],[f240])). 4.20/0.89 tff(f246,plain,( 4.20/0.89 ($false = $true) | (~spl0_1 | ~spl0_2)), 4.20/0.89 inference(forward_demodulation,[],[f241,f225])). 4.20/0.89 tff(f247,plain,( 4.20/0.89 $false | (~spl0_1 | ~spl0_2)), 4.20/0.89 inference(trivial_inequality_removal,[],[f246])). 4.20/0.89 tff(f248,plain,( 4.20/0.89 spl0_1 | ~spl0_2), 4.20/0.89 inference(avatar_contradiction_clause,[],[f247])). 4.20/0.89 tff(f267,plain,( 4.20/0.89 spl0_4 <=> (rel @ sK3 @ sK9 = $true)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 4.20/0.89 tff(f268,plain,( 4.20/0.89 (rel @ sK3 @ sK9 = $true) | ~spl0_4), 4.20/0.89 inference(avatar_component_clause,[],[f267])). 4.20/0.89 tff(f270,plain,( 4.20/0.89 spl0_7 <=> (positive @ sK6 @ sK3 != $true)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 4.20/0.89 tff(f271,plain,( 4.20/0.89 (positive @ sK6 @ sK3 != $true) | ~spl0_7), 4.20/0.89 inference(avatar_component_clause,[],[f270])). 4.20/0.89 tff(f273,plain,( 4.20/0.89 spl0_6 <=> (positive @ sK6 @ sK3 = $true)), 4.20/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 4.20/0.89 tff(f274,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $true) | ~spl0_6), 4.20/0.89 inference(avatar_component_clause,[],[f273])). 4.20/0.89 tff(f275,plain,( 4.20/0.89 spl0_4 | spl0_6), 4.20/0.89 inference(avatar_split_clause,[],[f210,f273,f267])). 4.20/0.89 tff(f277,plain,( 4.20/0.89 ($true != $true) | (positive @ sK6 @ sK3 = $false) | ~spl0_7), 4.20/0.89 inference(fool_paramodulation,[],[f271])). 4.20/0.89 tff(f283,plain,( 4.20/0.89 (positive @ sK6 @ sK3 = $false) | ~spl0_7), 4.20/0.89 inference(trivial_inequality_removal,[],[f277])). 4.20/0.89 tff(f294,plain,( 4.20/0.89 ($false = $true) | (sK5 @ sK10 @ sK9 = $false) | ~spl0_7), 4.20/0.89 inference(forward_demodulation,[],[f206,f283])). 4.20/0.89 tff(f295,plain,( 4.20/0.89 (sK5 @ sK10 @ sK9 = $false) | ~spl0_7), 4.20/0.89 inference(trivial_inequality_removal,[],[f294])). 4.20/0.89 tff(f351,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : (($false = $true) | (positive @ X1 @ sK9 = $false) | (X1 @ sK10 @ sK9 = $true)) ) | ~spl0_7), 4.20/0.89 inference(forward_demodulation,[],[f209,f283])). 4.20/0.89 tff(f352,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((X1 @ sK10 @ sK9 = $true) | (positive @ X1 @ sK9 = $false)) ) | ~spl0_7), 4.20/0.89 inference(trivial_inequality_removal,[],[f351])). 4.20/0.89 tff(f360,plain,( 4.20/0.89 ($false = $true) | (positive @ sK5 @ sK9 = $false) | ~spl0_7), 4.20/0.89 inference(superposition,[],[f295,f352])). 4.20/0.89 tff(f361,plain,( 4.20/0.89 (positive @ sK5 @ sK9 = $false) | ~spl0_7), 4.20/0.89 inference(trivial_inequality_removal,[],[f360])). 4.20/0.89 tff(f368,plain,( 4.20/0.89 ( ! [X0] : (($false = $true) | (rel @ X0 @ sK9 = $false) | (positive @ sK5 @ X0 = $false)) ) | ~spl0_7), 4.20/0.89 inference(superposition,[],[f166,f361])). 4.20/0.89 tff(f369,plain,( 4.20/0.89 ( ! [X0] : ((rel @ X0 @ sK9 = $false) | (positive @ sK5 @ X0 = $false)) ) | ~spl0_7), 4.20/0.89 inference(trivial_inequality_removal,[],[f368])). 4.20/0.89 tff(f376,plain,( 4.20/0.89 ($false = $true) | (positive @ sK5 @ sK3 = $false) | (~spl0_4 | ~spl0_7)), 4.20/0.89 inference(superposition,[],[f268,f369])). 4.20/0.89 tff(f377,plain,( 4.20/0.89 (positive @ sK5 @ sK3 = $false) | (~spl0_4 | ~spl0_7)), 4.20/0.89 inference(trivial_inequality_removal,[],[f376])). 4.20/0.89 tff(f555,plain,( 4.20/0.89 ( ! [X9:mu -> '$i' -> '$o'] : (($false = $true) | (bCOMB @ (bCOMB @ vNOT) @ X9 @ sK4 @ sK3 = $true) | (positive @ X9 @ sK3 = $true)) )), 4.20/0.89 inference(superposition,[],[f213,f157])). 4.20/0.89 tff(f578,plain,( 4.20/0.89 ( ! [X9:mu -> '$i' -> '$o'] : ((bCOMB @ (bCOMB @ vNOT) @ X9 @ sK4 @ sK3 = $true) | (positive @ X9 @ sK3 = $true)) )), 4.20/0.89 inference(trivial_inequality_removal,[],[f555])). 4.20/0.89 tff(f579,plain,( 4.20/0.89 ( ! [X9:mu -> '$i' -> '$o'] : ((vNOT @ (X9 @ sK4 @ sK3) = $true) | (positive @ X9 @ sK3 = $true)) )), 4.20/0.89 inference(combinator_demodulation,[],[f578])). 4.20/0.89 tff(f580,plain,( 4.20/0.89 ( ! [X9:mu -> '$i' -> '$o'] : ((X9 @ sK4 @ sK3 = $false) | (positive @ X9 @ sK3 = $true)) )), 4.20/0.89 inference(not_proxy_clausification,[],[f579])). 4.20/0.89 tff(f603,plain,( 4.20/0.89 ($false = $true) | (positive @ sK5 @ sK3 = $true) | ~spl0_0), 4.20/0.89 inference(superposition,[],[f219,f580])). 4.20/0.89 tff(f604,plain,( 4.20/0.89 (positive @ sK5 @ sK3 = $true) | ~spl0_0), 4.20/0.89 inference(trivial_inequality_removal,[],[f603])). 4.20/0.89 tff(f609,plain,( 4.20/0.89 ($false = $true) | (~spl0_0 | ~spl0_4 | ~spl0_7)), 4.20/0.89 inference(forward_demodulation,[],[f604,f377])). 4.20/0.89 tff(f610,plain,( 4.20/0.89 $false | (~spl0_0 | ~spl0_4 | ~spl0_7)), 4.20/0.89 inference(trivial_inequality_removal,[],[f609])). 4.20/0.89 tff(f611,plain,( 4.20/0.89 ~spl0_0 | ~spl0_4 | spl0_7), 4.20/0.89 inference(avatar_contradiction_clause,[],[f610])). 4.20/0.89 tff(f615,plain,( 4.20/0.89 ($false = $true) | (sK6 @ sK4 @ sK3 = $true) | ~spl0_6), 4.20/0.89 inference(superposition,[],[f213,f274])). 4.20/0.89 tff(f618,plain,( 4.20/0.89 (sK6 @ sK4 @ sK3 = $true) | ~spl0_6), 4.20/0.89 inference(trivial_inequality_removal,[],[f615])). 4.20/0.89 tff(f624,plain,( 4.20/0.89 ($false = $true) | (~spl0_2 | ~spl0_6)), 4.20/0.89 inference(forward_demodulation,[],[f618,f225])). 4.20/0.89 tff(f625,plain,( 4.20/0.89 $false | (~spl0_2 | ~spl0_6)), 4.20/0.89 inference(trivial_inequality_removal,[],[f624])). 4.20/0.89 tff(f626,plain,( 4.20/0.89 ~spl0_2 | ~spl0_6), 4.20/0.89 inference(avatar_contradiction_clause,[],[f625])). 4.20/0.89 tff(f646,plain,( 4.20/0.89 (rel @ sK3 @ sK7 = $true) | ~spl0_3), 4.20/0.89 inference(subsumption_resolution,[],[f196,f222])). 4.20/0.89 tff(f648,plain,( 4.20/0.89 (sK5 @ sK8 @ sK7 = $false) | ~spl0_3), 4.20/0.89 inference(subsumption_resolution,[],[f192,f222])). 4.20/0.89 tff(f755,plain,( 4.20/0.89 ( ! [X1:mu -> '$i' -> '$o'] : ((X1 @ sK8 @ sK7 = $true) | (positive @ X1 @ sK7 = $false)) ) | ~spl0_3), 4.20/0.89 inference(subsumption_resolution,[],[f195,f222])). 4.20/0.89 tff(f763,plain,( 4.20/0.89 ($false = $true) | (positive @ sK5 @ sK7 = $false) | ~spl0_3), 4.20/0.89 inference(superposition,[],[f648,f755])). 4.20/0.89 tff(f764,plain,( 4.20/0.89 (positive @ sK5 @ sK7 = $false) | ~spl0_3), 4.20/0.89 inference(trivial_inequality_removal,[],[f763])). 4.20/0.89 tff(f773,plain,( 4.20/0.89 ( ! [X0] : (($false = $true) | (rel @ X0 @ sK7 = $false) | (positive @ sK5 @ X0 = $false)) ) | ~spl0_3), 4.20/0.89 inference(superposition,[],[f166,f764])). 4.20/0.89 tff(f776,plain,( 4.20/0.89 ( ! [X0] : ((rel @ X0 @ sK7 = $false) | (positive @ sK5 @ X0 = $false)) ) | ~spl0_3), 4.20/0.89 inference(trivial_inequality_removal,[],[f773])). 4.20/0.89 tff(f786,plain,( 4.20/0.89 ($false = $true) | (positive @ sK5 @ sK3 = $false) | ~spl0_3), 4.20/0.89 inference(superposition,[],[f646,f776])). 4.20/0.89 tff(f787,plain,( 4.20/0.89 (positive @ sK5 @ sK3 = $false) | ~spl0_3), 4.20/0.89 inference(trivial_inequality_removal,[],[f786])). 4.20/0.89 tff(f790,plain,( 4.20/0.89 ($false = $true) | (~spl0_0 | ~spl0_3)), 4.20/0.89 inference(backward_demodulation,[],[f787,f604])). 4.20/0.89 tff(f821,plain,( 4.20/0.89 $false | (~spl0_0 | ~spl0_3)), 4.20/0.89 inference(trivial_inequality_removal,[],[f790])). 4.20/0.89 tff(f822,plain,( 4.20/0.89 ~spl0_0 | spl0_3), 4.20/0.89 inference(avatar_contradiction_clause,[],[f821])). 4.20/0.89 tff(f823,plain,( 4.20/0.89 $false), 4.20/0.89 inference(avatar_sat_refutation,[],[f226,f248,f275,f611,f626,f822])). 4.20/0.89 % SZS output end Proof for theBenchmark 4.20/0.89 % (5355)------------------------------ 4.20/0.89 % (5355)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.20/0.89 % (5355)Termination reason: Refutation 4.20/0.89 4.20/0.89 % (5355)Memory used [KB]: 7419 4.20/0.89 % (5355)Time elapsed: 0.335 s 4.20/0.89 % (5355)------------------------------ 4.20/0.89 % (5355)------------------------------ 4.20/0.89 % (5324)Success in time 0.575 s 4.20/0.90 EOF